25. Nov 2025
Mixing time of the Asymmetric Zero Range process on the segment
Mathphys Analysis Seminar
Datum: 25. November 2025 |
16:15 –
17:15
Sprecher:
Ons Rameh, LPSM, Paris
Veranstaltungsort: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Sprache:
Englisch
In this talk, we shall discuss the mixing time of the Asymmetric Zero Range process (AZRP) with non-decreasing jump rates on the segment. We will first study the hydrodynamic limit starting from the configuration where all particles are gathered on the left-most site. The macroscopic equilibrium time gives a lower bound on the mixing time. We will show the sharpness of this estimate when the system is asymmetric enough, which establishes the cut-off phenomenon. This extends earlier results of Labbe and Lacoin in the context of the asymmetric simple exclusion process.
